Giải các phương trình sau
----- Nội dung ảnh -----
Bài 5. Giải các phương trình sau:
1) \(\frac{x-1}{x} + \frac{1-2x}{x(x+1)} = \frac{1}{x(x+1)}\)
2) \(\frac{5}{x-3} - \frac{x^2-10}{x-4} = \frac{1}{x(x-4)}\)
3) \(\frac{x+3}{x-3} = \frac{3}{x^2-3x} + \frac{1}{x}\)
4) \(\frac{3}{x^2-3x} + \frac{1}{x+4} = \frac{4}{x-3}\)
5) \(\frac{x+4}{x-4} = \frac{1}{x-4}\)
6) \(\frac{x}{x-3} + \frac{1}{x+1} = \frac{2x^2-4}{(x-3)(x+1)}\)
7) \(\frac{y+2}{x-2} = \frac{6}{x^2-2x}\)
8) \(\frac{2}{x-2} + \frac{1}{x-1} = \frac{-25}{x^2+5x}\)
9) \(\frac{x-5}{x} + \frac{-3}{x+5} = \frac{-25}{x^2+5x}\)
10) \(\frac{x+6}{x-6} + \frac{6}{x} = \frac{1}{x}\)
11) \(\frac{x+7}{x-7} = \frac{1}{x}\)
12) \(\frac{x+5}{x-4} = \frac{x^2+35}{x^2+4x}\)
13) \(\frac{4x}{4x-3} + \frac{5}{3x-4x^2} = \frac{x+2}{x}\)
14) \(\frac{3}{x+3} = \frac{1}{x-2}\)
15) \(\frac{4x}{x-2} = \frac{8x-7}{3x-6}\)
Bài 5. Giải các phương trình sau:
1) \(\frac{x-1}{x} + \frac{1-2x}{x(x+1)} = \frac{1}{x(x+1)}\)
2) \(\frac{5}{x-3} - \frac{x^2-10}{x-4} = \frac{1}{x(x-4)}\)
3) \(\frac{x+3}{x-3} = \frac{3}{x^2-3x} + \frac{1}{x}\)
4) \(\frac{3}{x^2-3x} + \frac{1}{x+4} = \frac{4}{x-3}\)
5) \(\frac{x+4}{x-4} = \frac{1}{x-4}\)
6) \(\frac{x}{x-3} + \frac{1}{x+1} = \frac{2x^2-4}{(x-3)(x+1)}\)
7) \(\frac{y+2}{x-2} = \frac{6}{x^2-2x}\)
8) \(\frac{2}{x-2} + \frac{1}{x-1} = \frac{-25}{x^2+5x}\)
9) \(\frac{x-5}{x} + \frac{-3}{x+5} = \frac{-25}{x^2+5x}\)
10) \(\frac{x+6}{x-6} + \frac{6}{x} = \frac{1}{x}\)
11) \(\frac{x+7}{x-7} = \frac{1}{x}\)
12) \(\frac{x+5}{x-4} = \frac{x^2+35}{x^2+4x}\)
13) \(\frac{4x}{4x-3} + \frac{5}{3x-4x^2} = \frac{x+2}{x}\)
14) \(\frac{3}{x+3} = \frac{1}{x-2}\)
15) \(\frac{4x}{x-2} = \frac{8x-7}{3x-6}\)